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Finding the Fourth Proportional to 2,161.10, 3,241.42 and 699.86

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Solution

The fourth proportional to 2,161.10, 3,241.42 and 699.86 is: 1,049.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161.10 : 3,241.42 = 699.86 : x
  2. Step 2: Convert to fraction form
    2,161.10/3,241.42 = 699.86/x
  3. Step 3: Cross multiply
    2,161.10x = 3,241.42 × 699.86
  4. Step 4: Simplify right side
    2,161.10x = 2,268,546.56
  5. Step 5: Solve for x
    x = 2,268,546.56/2,161.10
  6. Step 6: Final answer
    x = 1,049.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.